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THE MOST BEAUTIFUL AND STRONGEST PAPAVA'S CONJECTURE IN THE XXI CENTURY.

Definition. For an integer n≥2, let gpf(n) denote the greatest prime factor of n.

Conjecture (Papava). If a,b,c∈N, a+b=c, gcd(a,b)=1 then
c<(gpf(a)gpf(b)gpf(c))³.

Result 1. Fermat's Last Theorem;
Result 2. Beal conjecture (Prize $1000 000);
Result 3. ABC conjecture when ε=2;
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